Free Printable 7.EE Review

Worksheets

7.EE Review

Total questions: 60

Worksheet time: 3hrs 38mins

Name

Class

Date

What is the difference between an equation and an expression?

An equation has an equal sign and an expression does not.

An expression has an equal sign and an equation does not.

This must be a trick! They are the same thing!

One has variables and the other does not.

2(-8+7c)

16+14c

30c

-23c

14c+(-16)

4+(-7)-10x+5x

-5x-3

24+35x

-6-15x

15x+3

6(-4+3)+5v+10v

21v

6+15v

-6+15v

3(10-8x)

30x+24

30-24x

78x

24x

How many terms are in the following expression?
x²+7x-13

(3-9y+8y)

-y+3

y-3

27+17y

Which of the following does NOT represent an equivalent expression for 8x+4?

4(2x+1)

(2x+1)+(2x+1)+(2x+1)+(2x+1)

2(4x+2)

2x(4+2)

A cell phone company dropped the prices on their phones by 9%. Which expression shows the NEW PRICE of the phone, p?

p - 0.09p

p - 1.09p

p x 0.09p

p - 0.09

10.

Over the summer gas prices dropped by 3%. Which expression shows the NEW PRICE of a gallon of gas, g?

g x 0.03

g - 1.03g

g - 0.03g

g - 0.03

11.

While clearing out some old inventory a store offered 10 percent off any item, i. Which expression can be used to find the DISCOUNT?

i - 1.1

0.1i

i x 0.1

i - 0.1i

12.

Sales tax is __________ the price.

subtracted from

added to

multiplied by

divided by

13.

What is 82% as a decimal?

820

0.082

0.82

14.

Discount is ____________ the price.

added to

divided by

subtracted from

multiplied by

15.

Rewrite using the Distributive Property: 6(3 + 6)

(6x3) + 6

(6x3) + (6x6)

18 + 36

16.

Which of the following expressions represents the total area of the rectangle?

5(2 + 3)

3(2 + 5)

2(3 + 5)

2(3) + 3(5)

17.

Factor 8x-10

2(4x-5)

6(2x-4)

2(4x+5)

8(x+5)

18.

Factor 8x-10

2(4x-5)

6(2x-4)

2(4x+5)

8(x+5)

19.

Factor 3x+27

3(x+3)

9(3x+9)

3(x-3)

3(x+9)

20.

What word phrase can you use to represent "5x + 2"?

five times the sum of a number x and two

two times the sum of a number x and five

a number x times the sum of five and two

the sum of five times a number x and two

21.

Greatest Common Factor
15ab and 25a

5ab

15ab

22.

In a basketball game, the Mustangs scored two 3-point shots, four 2-point shots, and six 1-point free throws. How many points did their team earn?

23.

The population of Moore Haven, M, is expected to decrease by 3% over the next 10 years. Which expression show the expected population of Moore Haven in 10 years?

$M-0.03$

$M-0.03M$

$0.97$

$1-0.03M$

24.

Solve for y:
2y + 7 = 11

y = 2

y = 1

y = 9

y = 4

25.

Solve for x:
4x + 5x = 27

x = 27

x = 3

x = -27

x = 0

26.

Solve for m: 3m - 4 - 5m = 10

m = 3

m = 9

m = -7

m = 7

27.

Solve for x.

5/2

-5/2

1/2

-1/2

28.

What is the solution of

2b+3b+6=21

b = 6

b= 5

b = 4

b = 3

29.

Solve. $5x+5x-9=31$ Just type the number in.

(a)

30.

Solve y ÷ 11 = 12

y = 132

y = 1

y = 10/11

y = -1

31.

Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...

Inverse operations

math

variable

PEMDAS

32.

Translate:
Four times a number plus six IS 30.

4 + 6 = 30

4x + 6 = 30

x + 4 times 6 = 30

30 = 4x

33.

Which statement can be represented by the equation 2x + 3 = -5 ?

Three more than the product of a number and two is negative five.

Two increased by three times a number equals the opposite of five.

The opposite of five is equal to the difference of two times a number and three.

The sum of twice a number and three is negative five.

34.

What is the inverse operation of subtraction?

Subtraction

Multiplication

Division

Addition

35.

What is the inverse operation of division?

Division

Multiplication

Addition

Subtraction

36.

What is the inverse operation needed to solve for p?
765 = p - 254

subtraction

addition

multiplication

division

37.

x + 12 = 20

x = 32

x = -32

x = 8

x = -8

38.

7. -4y = 48

x = -52

x = -12

x = -44

x = -13

39.

Solve for x:

x = 20

x = 7

x = 10

x = 3

40.

Ariel has 2 bags of candy, with the same amount in each bag. Jason has 12 pieces of candy. Combined, they have 52 pieces of candy. How much candy is in each bag?

2c + 52 = 12

2c - 12 = 52

2c + 12 = 52

12c + 2 = 52

41.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. How many months has Jim been a member of the gym?

50 + 20m = 290

20 + 50m = 290

50 + 20 = m

50m - 20 = 290

42.

The steps in solving 5b - 6 = 24 are:

Add 6 to both sides and divide both sides by 5

Add 6 to both sides and multiply both sides by 5

Subtract 6 from both sides then multiply both sides by 5

Subtract 6 from both sides then divide both sides by 5

43.

A stadium has a total of 18,000 seats. Of these, 7,500 are field seats, and the rest are grandstand seats. Which equation could be used to find the number of grandstand seats s?

s + 7,500 = 18,000

s - 7,500 = 18,000

s + 18,000 = 7,500

s - 18,000 = 7,500

44.

What is the goal when given an algebraic equation?

Inverse Operation

Isolate the variable

To pass

I don't know

45.

Melissa wants to spend no more than $300 on school clothes. She spends $75 on a coat and then wants to buy some sweaters that are on special for $10 each. Write an inequality to show how many sweaters Melissa can buy. DO NOT SOLVE

75x-10 ≥ 300

75+10 ≤ 300x

10x ≥ 300

75+10x ≤ 300

46.

Match the graph with the given solution.

47.

Solve and then match the correct solution & graph.

48.

If you were to graph the inequality would the circle be open or closed?
x ≥ 15

open

closed

49.

If you were to graph the inequality would the circle be open or closed?
x > 45

open

closed

50.

Solve the inequality:
x + 7 < 9

x < 2

x < 16

x < 63

51.

Solve the inequality:
x - 10 ≥ 5

x ≥ 2

x ≥ 15

x ≥ 5

52.

Which inequality can be represented by the graph?

x < 5

x > 5

x ≤ 5

x ≥ 5

53.

You can spend no more than 20 dollars on your mom's birthday present.

x > 20

x < 20

x ≤ 20

x ≥ 20

54.

All students must get at least a 60% for the year in order to pass math.

x = 60

x > 60

x ≥ 60

x ≤ 60

55.

What inequality does the number line graph represent?

2x +1 < -3

x + 2 < 4

-x + 3 > 1

x + 4 >= 2

56.

A warehouse holds 460 boxes. They ship out 65 boxes each week. After how many weeks will they have less than 100 boxes remaining? Write and solve an inequality that can be used to determine how many weeks it will take for the warehouse to have less than 100 boxes. Pick 2 answers - Inequality and solution.

x < -5.54 weeks

x > 5.54 weeks

460 - 65x < 100

65x + 460 < 100

57.

Paulo's grandfather gave him a collection of 20 coins. Each month Paulo adds 4 coins to his collection. Which inequality can be used to find m, the number of months after starting his collection when Paulo will have more than 50 coins in his collection?

20m + 4 < 50

20 + 4m < 50

20m + 4 > 50

20 + 4m > 50

58.

To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.

X < 5

X > 5

X ≥ 5

X ≤ 5

59.

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.

What is the least number of cars she can wash to buy the headphones?

Write the inequality to the problem.

14x+30 ≥ 240

14x+30 ≤ 240

30x+14 ≥ 240

30x+14 ≤ 240

60.

Sylvia set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Define the variable.

x = Syliva

x = the number of weeks to reach her goal

x = her monthly allowance

x = her savings account

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7.EE Review

Total questions: 60

Worksheet time: 3hrs 38mins

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